Find the intersection of the plane - 6x + 6y + 2z = 80 and the line 7'(t) = (8, 6, 5)t + ( − 7, 4, 4). x = y = 2=

Q: 2. (5 points) Consider the transformation T: R² → R³ defined by T [2] = X 2x - Y 3x+4y (i) Show that…

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Q: Directions: Find the derivatives using the definition of limits (4-step Rule). Show each step from…

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A: Let S(t) denote the amount of salt in kg in the tank after minutes. Given that S(0)=0 and to find…

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Q: If the distance between (b, 6) and (5, 6) is 2.5 units, find all possible values of b. (Enter your…

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Q: x²y' = 4x² + 7xy + 2y²

A: We use homogeneous method to solve the given differential equation.

Q: Write the equation of a circle in general form. Determine the center & radius. Sketch the graph.…

A: Given: Graph: x−a2+y−b2=r2  is the circle equation with a radius r, centered at a,…

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Q: Given the graph of f(x), find: lim f(x) A. B. 8. lim f(x) X->-2* c. f(6) -12-10-8-64-2-1

A: We have to find out limit from graph

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Q: 3) v(2x − v + 1)dx + x(3x - 4y + 3)dy = 0

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about 20 and then find the nth Taylor…

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Q: Given the initial value problem (4x3y - 18x2 + y)dx + (x4 +3y2+x)dy = 0; y(1) = -2 1. Determine if…

A: A differential equation of the form Mdx+Ndy=0 is called exact if ∂M∂y=∂N∂x The solution for the…

Q: V Н T √ 1000 mi. $ 1 S Explore X Oll The continental U.S. is about 200 miles wider than Australia.…

A: Given data:- U.S. continent is 200 miles wider than Australia.

Q: Find the parametric equations of the line through (1,−3, 4) that is parallel to the line x = 3 + 4t,…

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Q: 1. ASSUME THAT Z IS IMPLICITLY DEFINDED AS A FUNCTION OF X AND Y. FIND THE FIRST PARTIAL DERIVATIVES…

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Q: Compute the second-order partial derivatives of f(x, y) = 1+ 4x² + 5y² 2² f მე2 (x, y) 2² f dx dy o…

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Q: Calculate v XW = (u₁, U₂, U3). = (7,3,2) V = w = (-6,4, -3) (Give your answer using component form…

A: On solving this we will get

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate…

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Q: y²dx + x(x + y)dy = 0

A: This question is based on Solution of Homogeneous Differential equation.

Q: Find the differential dy of the given function. (Use "dx" for dx.) 6 √x dy = y = 9√x +

A: Solution is given below:

Q: find Using your results from problem #3 the equation of the tangent line for f(x)... when -20 2-2…

A: We have to find the tangent line equation

Q: Find the intervals on which the graph of f is concave upward, the intervals on which the graph of f…

A: This question can be solved by applying the conditions of concave up, concave down andpoint of…

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A: We have to solve the product

Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say…

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Q: 4. [secx tan x cos(secx) dx

A: A detailed solution is given below.

Q: Directions: Find the derivatives using the definition of limits (4-step Rule). Show each step from…

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Q: 2. Let f(x) = cx² + 7. If f(-2) = 13, find c.

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Q: Sketch the graph y = x3 − 6x2 + 9x. Provide all working for finding the intercepts and stationary…

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Q: 4. If P1000 becomes P1126.49 after 4 years when invested at a certain nominal rate of interest…

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Q: Fill in the missing values to make the equations true. (a) log, 7-log, 10 = (b) log₂ + log, 8 = (c)…

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Q: 1. S sin 2x sin x dx

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Q: E h 501. f'(x) = cosx + sec²(x), (4) = 2 + √2 (7

A: Given: f'x=cosx +sec2x ; fπ4=2+22.We need to solve the above initial value problem.Recall the…

Q: 3 3 ( xy² + y ² ) dy = ( x ²³ y ²³ + x ³ - y ³ - 1 ) dx

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Q: 1. Verify that the conclusion of the Clairaut's Theorem hold d) z = ex cos y e) z = sin x sin y

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Q: Calculate the differential for the following functions: a) z = x³y + x²y² + xy³ b) c) z = x siny - y…

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Q: Solve the system of equations by using the inverse of the coefficient matrix. 2x - 2y = 7 6y + 12z =…

A: Solve the system of linear equations with the help of inverse of Matrix  2x-2y=7  6y+12z=-2  x+2z=1

Q: Question 9 Let R be the region bounded by x = 5, y = 4x+6, y = - 4x + 22. To find the volume of the…

A: The given problem is solved below in detail.

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

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Q: Which of the following functions is a solution of (x² + 1)y' + y² + 1 = 0 ? y = y = 1+x 1-x 1-x 1+x…

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Q: 1. Consider the ODE: (2x + 4y) + (4x − 2y + 1)y' = 0. Verify that the ODE is exact and then find its…

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Q: Interpret r(t) = (3 cos(2 t))i + (3 sin (2 t))j + 4k as the position of a moving object at time t.…

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Q: Given: (2x - 4y -3) dx - (3x - 6y+3) dy = 0

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Q: A function is given. f(x) = x³5x²; x = 0, x = 10 (a) Determine the net change between the given…

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Q: At time t = 14 s, the velocity of a particle moving in the x-y plane is v = 0.06i + 2.21j m/s. By…

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Q: Which of the following functions satisfy x²dy+ y(x + y)dx=0 with y(1) = 1 ?

A: A detailed solution is given below.

Q: 15. Find f(x) using the limit definition of the derivative. f(x)=√2-x In the answer box, enter the…

A: We have to find derivative

Q: DETERMINE THE FOLLOWING: 1. Dependent Variable Differential Equation GIVE EXAMPLES AS WELL BUT MAKE…

A: From your question what I understand that you have asked for an example of a differential equation…

Q: Find the inverse function of f(x) = √√8 +8. ƒ-¹(x) = Submit Question

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